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Finding the Fourth Proportional to 2,337.69, 3,506.73 and 671.82

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Solution

The fourth proportional to 2,337.69, 3,506.73 and 671.82 is: 1,007.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.69 : 3,506.73 = 671.82 : x
  2. Step 2: Convert to fraction form
    2,337.69/3,506.73 = 671.82/x
  3. Step 3: Cross multiply
    2,337.69x = 3,506.73 × 671.82
  4. Step 4: Simplify right side
    2,337.69x = 2,355,891.35
  5. Step 5: Solve for x
    x = 2,355,891.35/2,337.69
  6. Step 6: Final answer
    x = 1,007.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.